English

Simple archimedean dimension groups

Rings and Algebras 2011-02-16 v1 Functional Analysis

Abstract

We answer a question of Goodearl, by constructing for every metrizable Choquet simplex, a dimension group that is simple and archimedean and whose trace space is the desired Choquet simplex.

Cite

@article{arxiv.1102.2965,
  title  = {Simple archimedean dimension groups},
  author = {David Handelman},
  journal= {arXiv preprint arXiv:1102.2965},
  year   = {2011}
}
R2 v1 2026-06-21T17:26:17.912Z